Turan, currently on loan from Barcelona at Turkish club Istanbul Basaksehir, was summoned by a prosecutor to make a statement to police after they received reports of the player's clash with singer Berkay Sahin, DHA said.
It quoted Turan's police statement as saying he rejected allegations he harassed Sahin and that a bullet fired from his pistol when he subsequently went to the hospital where Sahin was being treated for an injury was fired by mistake as he was tucking the gun in his waist.
An Istanbul police spokesman said police had sought a statement from Turan. The spokesman did not provide further details.
Turan joined Barcelona from Atletico Madrid for 34 million euros (£29.8 million) in 2015, winning six trophies, making 55 appearances and scoring 15 goals for the Catalan side.
(Reporting by Daren Butler; editing by John Stonestreet)
